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Kyoto Journal of Mathematics最新文献

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Moduli of parabolic sheaves and filtered Kronecker modules 抛物槽轮模和滤波Kronecker模
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-05-03 DOI: 10.1215/21562261-10428418
Sanjay Amrutiya, U. Dubey
{"title":"Moduli of parabolic sheaves and filtered Kronecker modules","authors":"Sanjay Amrutiya, U. Dubey","doi":"10.1215/21562261-10428418","DOIUrl":"https://doi.org/10.1215/21562261-10428418","url":null,"abstract":"We give functorial moduli construction of pure parabolic sheaves, in the sense of Alvarez-Consul and A. King, using the moduli of filtered Kronecker modules which we introduced in our earlier work. We also use a version of S. G. Langton's result due to K. Yokogawa to deduce the projectivity of moduli of parabolic sheaves. As an application of functorial moduli construction, we can get the morphisms at the level of moduli stacks.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47041431","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Graded decompositions of fusion products in rank 2 2级融合产物的分级分解
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-04-04 DOI: 10.1215/21562261-2022-0016
Leon Barth, Deniz Kus
{"title":"Graded decompositions of fusion products in rank 2","authors":"Leon Barth, Deniz Kus","doi":"10.1215/21562261-2022-0016","DOIUrl":"https://doi.org/10.1215/21562261-2022-0016","url":null,"abstract":"We determine the graded decompositions of fusion products of finite-dimensional irreducible representations for simple Lie algebras of rank two. Moreover, we give generators and relations for these representations and obtain as a consequence that the Schur positivity conjecture holds in this case. The graded Littlewood-Richardson coefficients in the decomposition are parametrized by lattice points in convex polytopes and an explicit hyperplane description is given in the various types.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66025447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Hausdorff operators on Morrey-type spaces Morrey型空间上的Hausdorff算子
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-04-01 DOI: 10.1215/21562261-2019-0035
V. Burenkov, E. Liflyand
{"title":"Hausdorff operators on Morrey-type spaces","authors":"V. Burenkov, E. Liflyand","doi":"10.1215/21562261-2019-0035","DOIUrl":"https://doi.org/10.1215/21562261-2019-0035","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"60 1","pages":"93-106"},"PeriodicalIF":0.6,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/21562261-2019-0035","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43416951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
Blurred combinatorics in resolution of singularities: (A little) Beyond the characteristic polytope 奇异点分辨率的模糊组合:(一点)超越特征多面体
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-04-01 DOI: 10.1215/21562261-2019-0037
Helena Cobo, M. Soto, J. Tornero
{"title":"Blurred combinatorics in resolution of singularities: (A little) Beyond the characteristic polytope","authors":"Helena Cobo, M. Soto, J. Tornero","doi":"10.1215/21562261-2019-0037","DOIUrl":"https://doi.org/10.1215/21562261-2019-0037","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"60 1","pages":"269-289"},"PeriodicalIF":0.6,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48530741","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the period of Lehn, Lehn, Sorger, and van Straten’s symplectic eightfold 在Lehn时期，Lehn, Sorger和van Straten的辛八倍
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-03-24 DOI: 10.1215/21562261-2022-0033
N. Addington, Franco Giovenzana
{"title":"On the period of Lehn, Lehn, Sorger, and van Straten’s symplectic eightfold","authors":"N. Addington, Franco Giovenzana","doi":"10.1215/21562261-2022-0033","DOIUrl":"https://doi.org/10.1215/21562261-2022-0033","url":null,"abstract":"For the irreducible holomorphic symplectic eightfold Z associated to a cubic fourfold Y not containing a plane, we show that a natural Abel-Jacobi map from H^4_prim(Y) to H^2_prim(Z) is a Hodge isometry. We describe the full H^2(Z) in terms of the Mukai lattice of the K3 category A of Y. We give numerical conditions for Z to be birational to a moduli space of sheaves on a K3 surface or to Hilb^4(K3). We propose a conjecture on how to use Z to produce equivalences from A to the derived category of a K3 surface.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47754304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Eight flavors of cyclic homology 循环同源的八种口味
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-03-05 DOI: 10.1215/21562261-2021-0008
K. Cieliebak, E. Volkov
{"title":"Eight flavors of cyclic homology","authors":"K. Cieliebak, E. Volkov","doi":"10.1215/21562261-2021-0008","DOIUrl":"https://doi.org/10.1215/21562261-2021-0008","url":null,"abstract":"We introduce eight versions of cyclic homology of a mixed complex and study their properties. In particular, we determine their behaviour with respect to Chen iterated integrals.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46703235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Seifert form of chain-type invertible singularities 链型可逆奇异点的塞弗特形式
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-02-25 DOI: 10.1215/21562261-2022-0038
Umut Varolgunes
{"title":"Seifert form of chain-type invertible singularities","authors":"Umut Varolgunes","doi":"10.1215/21562261-2022-0038","DOIUrl":"https://doi.org/10.1215/21562261-2022-0038","url":null,"abstract":"In this paper, we confirm a conjecture of Orlik-Randell from 1977 on the Seifert form of chain type invertible singularities. We use Lefschetz bifibration techniques as developed by Seidel (inspired by Arnold and Donaldson) and take advantage of the symmetries at hand. We believe that our method will be useful in understanding the homological/categorical version of Berglundt-Hubsch mirror conjecture for invertible singularities.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44917165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Subexponential densities of compound Poisson sums and the supremum of a random walk 复合Poisson和的次指数密度与随机游动的上确界
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-01-29 DOI: 10.1215/21562261-2022-0041
Takaaki Shimura, Toshiro Watanabe
{"title":"Subexponential densities of compound Poisson sums and the supremum of a random walk","authors":"Takaaki Shimura, Toshiro Watanabe","doi":"10.1215/21562261-2022-0041","DOIUrl":"https://doi.org/10.1215/21562261-2022-0041","url":null,"abstract":"We characterize the subexponential densities on $(0,infty)$ for compound Poisson distributions on $[0,infty)$ with absolutely continuous Levy measures. As a corollary, we show that the class of all subexponential probability density functions on $mathbb R_+$ is closed under generalized convolution roots of compound Poisson sums. Moreover, we give an application to the subexponential density on $(0,infty)$ for the distribution of the supremum of a random walk.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41663824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Averaging principles for mixed fast-slow systems driven by fractional Brownian motion 分数布朗运动驱动的混合快慢系统的平均原理
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-01-20 DOI: 10.1215/21562261-2023-0001
B. Pei, Y. Inahama, Yong Xu
{"title":"Averaging principles for mixed fast-slow systems driven by fractional Brownian motion","authors":"B. Pei, Y. Inahama, Yong Xu","doi":"10.1215/21562261-2023-0001","DOIUrl":"https://doi.org/10.1215/21562261-2023-0001","url":null,"abstract":"We focus on fast-slow systems involving both fractional Brownian motion (fBm) and standard Brownian motion (Bm). The integral with respect to Bm is the standard Ito integral, and the integral with respect to fBm is the generalised Riemann-Stieltjes integral using the tools of fractional calculus. An averaging principle in which the fast-varying diffusion process of the fast-slow systems acts as a noise to be averaged out in the limit is established. It is shown that the slow process has a limit in the mean square sense, which is characterized by the solution of stochastic differential equations driven by fBm whose coefficients are averaged with respect to the stationary measure of the fast-varying diffusion. The implication is that one can ignore the complex original systems and concentrate on the averaged systems instead. This averaging principle paves the way for reduction of computational complexity.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43105350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras 简单表面奇异点Hilbert格式的欧拉数与量子仿射代数标准模的量子维数
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-01-12 DOI: 10.1215/21562261-2021-0006
H. Nakajima
{"title":"Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras","authors":"H. Nakajima","doi":"10.1215/21562261-2021-0006","DOIUrl":"https://doi.org/10.1215/21562261-2021-0006","url":null,"abstract":"We prove the conjecture by Gyenge, Nemethi and Szendrői in arXiv:1512.06844, arXiv:1512.06848 giving a formula of the generating function of Euler numbers of Hilbert schemes of points $operatorname{Hilb}^n(mathbb C^2/Gamma)$ on a simple singularity $mathbb C^2/Gamma$, where $Gamma$ is a finite subgroup of $mathrm{SL}(2)$. We deduce it from the claim that quantum dimensions of standard modules for the quantum affine algebra associated with $Gamma$ at $zeta = exp(frac{2pi i}{2(h^vee+1)})$ are always $1$, which is a special case of a conjecture by Kuniba [Kun93]. Here $h^vee$ is the dual Coxeter number. We also prove the claim, which was not known for $E_7$, $E_8$ before.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42371611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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